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Finding the Fourth Proportional to 5,943.17, 8,200.04 and 5,195.95

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Solution

The fourth proportional to 5,943.17, 8,200.04 and 5,195.95 is: 7,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.17 : 8,200.04 = 5,195.95 : x
  2. Step 2: Convert to fraction form
    5,943.17/8,200.04 = 5,195.95/x
  3. Step 3: Cross multiply
    5,943.17x = 8,200.04 × 5,195.95
  4. Step 4: Simplify right side
    5,943.17x = 42,606,951.36
  5. Step 5: Solve for x
    x = 42,606,951.36/5,943.17
  6. Step 6: Final answer
    x = 7,169.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.